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If 5^(th) term of a G.P. is 2 and produc...

If `5^(th)` term of a G.P. is 2 and product of first 9 terms is 298 K, then the value of K is -

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If the sum of first n terms of a G.P is p and the sum of the first 2n terms is 3p,show that the sum of first 3n terms is7p.

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Knowledge Check

  • Fifth term of G.P. is 2, then the product of its firs 9 terms is-

    A
    256
    B
    1024
    C
    512
    D
    none of these

  • If the 5th term of a G.P. is x, then the product of its first nine terms is-

    A
    `x ^(5)`
    B
    `x ^(7)`
    C
    `x ^(9)`
    D
    `x ^(10)`

  • In a G.P., the product of the first three terms is (27)/(8) , then its middle term =

    A
    3
    B
    6
    C
    `3/2`
    D
    9

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    If the sum of sirst n terms of a G.P is p.sum of its first 2n terms is 3p,Prove that the sum of its first 3n terms is 7p.

    If the (p+q)th term of a G.P. is a and (p-q)th term is b, determine its pth term.

    If the sum of the first n terms of a G.P. = p and the sum of the first 2n terms = 3p, show that the sum of first 3n terms = 7p.

    The sum of first three terms of a G.P. is 16 and the sum of the next three terms is 128. Determine the first term, the common ratio and the sum to n terms of the G.P.

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